Some results on $\eta$-Ricci Soliton and gradient $\rho$-Einstein soliton in a complete Riemannian manifold

DOI10.4134/CKMS.c180347zbMath1429.53043arXiv1808.04789OpenAlexW3037228190MaRDI QIDQ4973810

Absos Ali Shaikh, Chandan Kumar Mondal

Publication date: 5 December 2019

Full work available at URL: https://arxiv.org/abs/1808.04789

zbMATH Keywords

harmonic functionconvex functionconformal vector fieldHodge-de Rham potentialalmost \({\eta}\)-Ricci solitonEinstein potentialgradient \({\rho}\)-Einstein soliton

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Harmonic maps, etc. (58E20) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Ricci flows (53E20)

Related Items (9)

Einstein solitons with unit geodesic potential vector field ⋮ Diameter estimation of gradient \(\rho \)-Einstein solitons ⋮ A note on the triviality of gradient solitons of the Ricci-Bourguignon flow ⋮ LCS-manifolds and Ricci solitons ⋮ Rigidity of gradient generalized \(\eta\)-Ricci solitons ⋮ Compact gradient \(\rho\)-Einstein soliton is isometric to the Euclidean sphere ⋮ Some Ricci solitons on Kenmotsu manifold ⋮ Some characterizations of \(\rho\)-Einstein solitons ⋮ On the Ricci–Bourguignon flow

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